Abstract
The phenomenological study of neutral heavy gauge boson ($Z^{\prime}_{B-L}$) of the minimal B-L extension was done on the dimuon production channel of the LHC. The study begins with the LEP-II constraints on $Z'$ searches, and the dimuon events are simulated at the parton level at the CM energies of 7 TeV and 8 TeV and studied with an integrated luminosity of 1.21 $fb^{-1}$ and 20.5 $fb^{-1}$ respectively. Later, the ATLAS detector-specific cuts unique to the Muon Pairs are imposed followed by the signal-selection-cuts on the Invariant Mass of the dimuon which restrict the events that are to be passed for Signal-Background Analysis, that are finally compared with the ATLAS data, and accounted for no experimental detection of $Z^{\prime}_{B-L}$ boson. It has been simulated further at the CM energy of 14 TeV with an integrated luminosity of 300 $fb^{-1}$ to predict a possible discovery of this B-L neutral-heavy gauge boson with a mass corresponding to 1.5 TeV and a $Z'$ coupling strength of 0.2 based on the signal-background analysis.
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